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EleoNora [17]
3 years ago
7

Maria thinks the two expressions 2(3a-2) + 4a and 10a - 2 are equivalent. Is she correct? Explain your reasoning.

Mathematics
1 answer:
kobusy [5.1K]3 years ago
4 0

Answer:

yes they are both equal

Step-by-step explanation:

they are both equal because 2(3a-2)+4a simplified is 10a-2 because if you combine like terms you will have this result!

hope i was clear

have a good day! c:

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The quadratic function h(t)=-16.1t^2 + 150 models a balls height, in feet, over time, in seconds, after it is dropped from a 15
katrin [286]
<h2>Hello!</h2>

The answer is: The first graphic representation.

<h2>Why?</h2>

We are given a quadratic equation, meaning that it could be two possible solutions for the exercise, however, we are talking about time, so we have to consider only the obtained positive values.

Let's make the equation equal to 0 in order to find the values of "t"

h(t)=-16.1t^2 + 150\\0=-16.1t^2 + 150\\16.1t^2=150\\t^2=\frac{150}{16.1}=9.32\\t=+-\sqrt{9.32}=+-3.05\\t1=3.05\\t2=-305

So, discarding the negative value, we can use the possitive value to find the correct graphic representation.

To find the correct graphic representation we must take into consideration the following:

- We must remember that the sign of the coefficient of the quadratic term (t^2) will define if the parabola opens downward or upward.

From the given quadratic (or parabola) equation we have:

a=-1\\b=0\\c=150

So, since the coefficient of the quadratic term is negative, the parabola opens downward.

- Since we are looking for a graphic that represents the change in height over time, we need to look for a graphic that shows only positive values for the x-axis (time)

- We are looking for a parabola which y-axis intercept is equal to 150.

Therefore, the graphic representation of the quadratic function that models a ball's height over time is the first graphic representation.

Have a nice day!

8 0
3 years ago
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A printer prints 36 photos in 8 minutes. How many minutes does it take to print 45 photos? You can use a ratio table to help you
Readme [11.4K]

Answer:

10 minutes

Step-by-step explanation:

First off, you want to figure out how many photos it prints in one minute. 36 divided by 8 is 4.5. So you should add 4.5 to 36, which makes 40.5 in 9 minutes. Add another 4.5 and you get 45 which you should add another minute. That gives you 10 minutes.

Another way is to find how many per minute which would again be 4.5. 45 divided by 4.5 is 10. So once again, 10 minutes.

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3 years ago
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Krutika, David and Mark share some sweets in the ratio
Aneli [31]

Answer:

120

Step-by-step explanation:

Krutika:48

David: 48

Mark: 48÷2= 24

Because 2 : 2 : 1

48+48+24=120

3 0
3 years ago
Find the range for the measure of the third side of a triangle given that the measures of two sides are 13 and 27.
IgorLugansk [536]

Answer:

<em>0 < X < 40</em>

Explanation:

[ Leg A ] 13

[ Leg B ] 27

[ Leg C ] x

Since We Are Missing The Third Side Of The Triangle.

x Has To Be Greater Than 0 But Less Than 40

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Mandarinka [93]

Answer:

32

Step-by-step explanation:

y

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